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Finding the Fourth Proportional to 5,604.65, 8,384.29 and 4,682.06

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Solution

The fourth proportional to 5,604.65, 8,384.29 and 4,682.06 is: 7,004.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.65 : 8,384.29 = 4,682.06 : x
  2. Step 2: Convert to fraction form
    5,604.65/8,384.29 = 4,682.06/x
  3. Step 3: Cross multiply
    5,604.65x = 8,384.29 × 4,682.06
  4. Step 4: Simplify right side
    5,604.65x = 39,255,695.21
  5. Step 5: Solve for x
    x = 39,255,695.21/5,604.65
  6. Step 6: Final answer
    x = 7,004.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.